Let X and Y be independent, continuous random variables, each with an even density function. Show that if n is odd, then A true-false exam has 54 questions. Use the CLT to approximate the probability...

Let X and Y be independent, continuous random variables, each with an even density function. Show that if n is odd, then

A true-false exam has 54 questions. Use the CLT to approximate the probability of getting a passing score of 35 or more correct answers simply by guessing on each question.